Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	32	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	13	⊢
	: , :
7	instantiation	14	⊢
	: , : , :
8	instantiation	30, 18, 15	⊢
	: , : , :
9	instantiation	30, 18, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
11	instantiation	30, 18, 17	⊢
	: , : , :
12	instantiation	30, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	30, 24, 20	⊢
	: , : , :
16	instantiation	30, 21, 22	⊢
	: , : , :
17	instantiation	30, 24, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	30, 24, 25	⊢
	: , : , :
20	instantiation	30, 28, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23	instantiation	30, 28, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	30, 28, 29	⊢
	: , : , :
26	instantiation	30, 31, 32	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	assumption		⊢
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2